In this article we deal with a class of degenerate parabolic systems that encompasses two dierent eects: porous medium and chemo- taxis. Such classes of equations arise in the mesoscale level modeling of biomass spreading mechanisms via chemotaxis. We prove estimates related to the ex- istence of the global attractor under certain 'balance conditions' on the order of the porous medium degeneracy and the growth of the chemotactic function.
SchlagwörterAttractor; biofilms; chemotaxis; dissipative estimate; porous-medium; In this article we deal with a class of degenerate parabolic systems that encompasses two different effects: porous medium and chemotaxis. Such classes of equations arise in the mesoscale level modeling of biomass spreading mechanisms via chemotaxis. We prove estimates related to the existence of the global attractor under certain 'balance conditions' on the order of the porous medium degeneracy and the growth of the chemotactic function.